Landscape




$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
45914 SU2adj1nf2 $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ 0.5344 0.6715 0.7957 [X:[], M:[0.8779, 1.1221], q:[0.9638, 0.5973], qb:[0.2805, 0.4027], phi:[0.4389]] [X:[], M:[[-2, -2], [2, 2]], q:[[6, 3], [-5, -2]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] 2
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$\tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$ $M_1M_2$, $ \phi_1^2\tilde{q}_1^4$, $ q_2^2\tilde{q}_2^2$ 1 t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. + 2*t^6.15 + 2*t^6.37 - t^6.58 + 6*t^6.73 - 2*t^6.95 + 4*t^7.1 + t^7.32 + 4*t^7.47 + 4*t^7.83 + 2*t^7.9 - t^8.05 + 3*t^8.2 + 2*t^8.42 - 2*t^8.63 + 6*t^8.78 - t^4.32/y - t^6.95/y + (3*t^7.68)/y + (2*t^8.05)/y + t^8.27/y + t^8.42/y + (4*t^8.63)/y + (2*t^8.78)/y - t^4.32*y - t^6.95*y + 3*t^7.68*y + 2*t^8.05*y + t^8.27*y + t^8.42*y + 4*t^8.63*y + 2*t^8.78*y g1^3*g2^3*t^2.05 + (2*t^2.63)/(g1^2*g2^2) + (g1^5*t^3.)/g2 + (g2*t^3.)/g1^5 + g1^2*g2^2*t^3.37 + g1^9*g2^3*t^3.73 + (g2^5*t^3.73)/g1 + 2*g1^6*g2^6*t^4.1 + 3*g1*g2*t^4.68 + g1^8*g2^2*t^5.05 + (g2^4*t^5.05)/g1^2 + (2*t^5.27)/(g1^4*g2^4) + g1^5*g2^5*t^5.42 + (g1^3*t^5.63)/g2^3 + t^5.63/(g1^7*g2) + g1^12*g2^6*t^5.78 + g1^2*g2^8*t^5.78 - t^6. + (g1^10*t^6.)/g2^2 + (g2^2*t^6.)/g1^10 + 2*g1^9*g2^9*t^6.15 + g1^7*g2*t^6.37 + (g2^3*t^6.37)/g1^3 - t^6.58/(g1^5*g2^5) + g1^14*g2^2*t^6.73 + 4*g1^4*g2^4*t^6.73 + (g2^6*t^6.73)/g1^6 - (g1^2*t^6.95)/g2^4 - t^6.95/(g1^8*g2^2) + 2*g1^11*g2^5*t^7.1 + 2*g1*g2^7*t^7.1 + t^7.32/(g1*g2) + g1^18*g2^6*t^7.47 + 2*g1^8*g2^8*t^7.47 + (g2^10*t^7.47)/g1^2 + 2*g1^15*g2^9*t^7.83 + 2*g1^5*g2^11*t^7.83 + (2*t^7.9)/(g1^6*g2^6) + g1^13*g2*t^8.05 - 3*g1^3*g2^3*t^8.05 + (g2^5*t^8.05)/g1^7 + 3*g1^12*g2^12*t^8.2 + g1^10*g2^4*t^8.42 + g2^6*t^8.42 + t^8.63/g1^12 + (g1^8*t^8.63)/g2^4 - (4*t^8.63)/(g1^2*g2^2) + g1^17*g2^5*t^8.78 + 4*g1^7*g2^7*t^8.78 + (g2^9*t^8.78)/g1^3 - t^4.32/(g1*g2*y) - t^6.95/(g1^3*g2^3*y) + (3*g1*g2*t^7.68)/y + (g1^8*g2^2*t^8.05)/y + (g2^4*t^8.05)/(g1^2*y) + t^8.27/(g1^4*g2^4*y) + (g1^5*g2^5*t^8.42)/y + (2*g1^3*t^8.63)/(g2^3*y) + (2*t^8.63)/(g1^7*g2*y) + (g1^12*g2^6*t^8.78)/y + (g1^2*g2^8*t^8.78)/y - (t^4.32*y)/(g1*g2) - (t^6.95*y)/(g1^3*g2^3) + 3*g1*g2*t^7.68*y + g1^8*g2^2*t^8.05*y + (g2^4*t^8.05*y)/g1^2 + (t^8.27*y)/(g1^4*g2^4) + g1^5*g2^5*t^8.42*y + (2*g1^3*t^8.63*y)/g2^3 + (2*t^8.63*y)/(g1^7*g2) + g1^12*g2^6*t^8.78*y + g1^2*g2^8*t^8.78*y


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
46068 $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ 0.516 0.641 0.805 [X:[], M:[0.8, 1.2], q:[1.1, 0.5], qb:[0.3, 0.5], phi:[0.4]] 3*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + t^6. - t^4.2/y - t^4.2*y detail {a: 129/250, c: 641/1000, M1: 4/5, M2: 6/5, q1: 11/10, q2: 1/2, qb1: 3/10, qb2: 1/2, phi1: 2/5}
46028 $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ 0.5333 0.6681 0.7983 [X:[], M:[0.8626, 1.1374], q:[0.981, 0.5878], qb:[0.2748, 0.4313], phi:[0.4313]] t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 - t^4.29/y - t^4.29*y detail
46000 $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ 0.489 0.6143 0.7961 [X:[], M:[0.8016, 1.1984], q:[1.1984, 0.4008], qb:[0.4008, 0.3967], phi:[0.4008]] 2*t^2.39 + 2*t^2.4 + t^3.58 + t^3.6 + t^3.61 + 4*t^4.79 + 5*t^4.8 + 2*t^4.81 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4.2/y - t^4.2*y detail


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational


Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id Theory Superpotential Central Charge $a$ Central Charge $c$ Ratio $a/c$ $R$-charges More Info. Rational


Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
45852 SU2adj1nf2 $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ 0.6485 0.7964 0.8143 [X:[], M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*y detail